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Finding the Fourth Proportional to 70,586, 105,879 and 21,338

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Solution

The fourth proportional to 70,586, 105,879 and 21,338 is: 32,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,586 : 105,879 = 21,338 : x
  2. Step 2: Convert to fraction form
    70,586/105,879 = 21,338/x
  3. Step 3: Cross multiply
    70,586x = 105,879 × 21,338
  4. Step 4: Simplify right side
    70,586x = 2,259,246,102
  5. Step 5: Solve for x
    x = 2,259,246,102/70,586
  6. Step 6: Final answer
    x = 32,007

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.